1 citations · 2 across the 13 of their papers we have counts for
14 papers
Current-Sheet Formation in Electron Magnetohydrodynamics with Split Fractional Dissipation
Ruimeng Hu, Qirui Peng, Xu Yang
Thin current sheets are central small-scale structures in electron magnetohydrodynamics (EMHD), closely associated with energy dissipation and fast magnetic reconnection at electro…
Onsager-Type Energy Equality and Prodi--Serrin Uniqueness for Nernst--Planck Fluid Systems
Ruimeng Hu, Quyuan Lin, Qirui Peng
We study weak solutions of electrodiffusion systems coupling the Nernst--Planck equations with fluid models. First, for the three-dimensional Nernst--Planck--Euler system, we estab…
Endogenous Reinsurance Pricing in Large Competitive Insurance Markets: Finite-Player and Mean Field Analysis
Ruimeng Hu, Byungdoo Kong
We study endogenous reinsurance pricing in a competitive insurance market with one strategic reinsurer and many heterogeneous insurers. The reinsurer acts as a Stackelberg leader b…
A Gradient Recovery Method for Electron Magnetohydrodynamics with Fractional Dissipation
Hailong Guo, Ruimeng Hu, Qirui Peng +1
We propose and analyze a structure-preserving numerical method for the -dimensional (2.5D) electron magnetohydrodynamics system with fractional dissipation on the pe…
The Three-Dimensional Stochastic EMHD System: Local Well-Posedness and Maximal Pathwise Solutions
Ruimeng Hu, Qirui Peng, Xu Yang
We study the three-dimensional stochastic electron magnetohydrodynamics (EMHD) system with fractional dissipation on the torus, driven by Stratonovich transport noise acting throug…
Convergence Analysis of PINNs for Fractional Diffusion Equations in Bounded Domains
Elie Abdo, Lihui Chai, Ruimeng Hu +1
We establish the convergence of physics-informed neural networks (PINNs) for time-dependent fractional diffusion equations posed on bounded domains. The presence of fractional Lapl…
On the local well-posedness of fractionally dissipated primitive equations with transport noise
Ruimeng Hu, Quyuan Lin, Rongchang Liu
We investigate the three-dimensional fractionally dissipated primitive equations with transport noise, focusing on subcritical and critical dissipation regimes characterized by $ (…
Regularization by noise for the inviscid primitive equations
Ruimeng Hu, Quyuan Lin, Rongchang Liu
The deterministic inviscid primitive equations (also called the hydrostatic Euler equations) are known to be ill-posed in Sobolev spaces and in Gevrey classes of order strictly gre…
Error estimates of physics-informed neural networks for approximating Boltzmann equation
Elie Abdo, Lihui Chai, Ruimeng Hu +1
Motivated by the recent successful application of physics-informed neural networks (PINNs) to solve Boltzmann-type equations [S. Jin, Z. Ma, and K. Wu, J. Sci. Comput., 94 (2023),…
On the Three-dimensional Nernst-Planck-Boussinesq System
Elie Abdo, Ruimeng Hu, Quyuan Lin
In this paper, we analyze a three-dimensional Nernst-Planck-Boussinesq (NPB) system that describes ionic electrodiffusion in an incompressible viscous fluid. This new model incorpo…
Multi-Agent Relative Investment Games in a Jump Diffusion Market with Deep Reinforcement Learning Algorithm
Liwei Lu, Ruimeng Hu, Xu Yang +1
This paper focuses on multi-agent stochastic differential games for jump-diffusion systems. On one hand, we study the multi-agent game for optimal investment in a jump-diffusion ma…
A PDE Perspective on Approximating Nonlocal Periodic Operators with Applications on Neural Networks for Critical SQG Equations
Elie Abdo, Ruimeng Hu, Quyuan Lin
Nonlocal periodic operators in partial differential equations (PDEs) pose challenges in constructing neural network solutions, which typically lack periodic boundary conditions. In…
On the Long-time Dynamics and Ergodicity of the Stochastic Nernst-Planck-Navier-Stokes System
Elie Abdo, Ruimeng Hu, Quyuan Lin
We consider an electrodiffusion model that describes the intricate interplay of multiple ionic species with a two-dimensional, incompressible, viscous fluid subjected to stochastic…
Estimation of Anisotropic Viscosities for the Stochastic Primitive Equations
Igor Cialenco, Ruimeng Hu, Quyuan Lin
The viscosity parameters play a fundamental role in applications involving stochastic primitive equations (SPE), such as accurate weather predictions, climate modeling, and ocean c…